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Finding the Fourth Proportional to 62.35, 86.07 and 46

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Solution

The fourth proportional to 62.35, 86.07 and 46 is: 63.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.35 : 86.07 = 46 : x
  2. Step 2: Convert to fraction form
    62.35/86.07 = 46/x
  3. Step 3: Cross multiply
    62.35x = 86.07 × 46
  4. Step 4: Simplify right side
    62.35x = 3,959.22
  5. Step 5: Solve for x
    x = 3,959.22/62.35
  6. Step 6: Final answer
    x = 63.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.